{"id":1884,"date":"2021-03-03T13:01:39","date_gmt":"2021-03-03T13:01:39","guid":{"rendered":"https:\/\/quickpercentcalc.com\/statistik\/varianz-rechner\/"},"modified":"2025-04-08T15:03:27","modified_gmt":"2025-04-08T15:03:27","slug":"varianz-rechner","status":"publish","type":"page","link":"https:\/\/quickpercentcalc.com\/de\/statistik\/varianz-rechner\/","title":{"rendered":"Varianz-Rechner"},"content":{"rendered":"\n<p>Berechnen Sie die Abweichung. Unser Rechner berechnet die Abweichung f\u00fcr Sie. <\/p>\n\n<p>Die Varianz (<sup>s2<\/sup>) ist ein Ma\u00df f\u00fcr die Streuung in einer Zahlenfolge. Die Varianz ist das Quadrat der <a href=\"https:\/\/quickpercentcalc.com\/de\/statistik\/rechner-fuer-standardabweichungen\/\">Standardabweichung<\/a>. <\/p>\n\n<p><strong>Schritte zur Berechnung der Varianz:<\/strong><br\/>1. Ermitteln Sie die Differenz zwischen jeder Zahl (x) und dem <a href=\"https:\/\/quickpercentcalc.com\/de\/statistik\/mittelwert-durchschnitt-rechner\/\">Mittelwert<\/a> ((Balken{x})).<br\/>2. Quadrieren (^2) Sie jede Differenz<br\/>3. Addieren Sie die Zahlen<br\/>4. Dividieren Sie durch die Anzahl der Werte minus 1<\/p>\n\n<p><\/p>\n\n<p>Um diesen Rechner zu verwenden, trennen Sie jede Zahl mit einem Leerzeichen (z.B. 2 5 4 usw.). F\u00fcr Dezimalzahlen k\u00f6nnen Sie entweder ein Komma oder einen Punkt verwenden.  Verwenden Sie keine Tausendertrennzeichen oder Buchstaben.<\/p>\n\n<p>Formel f\u00fcr die Abweichung:<\/p>\n\n<style>\n\n.frac {\n    display: inline-block;\n    position: relative;\n    vertical-align: middle;\n    letter-spacing: 0.001em;\n    text-align: center;\n}\n.frac > span {\n    display: block;\n    padding: 0.1em;\n}\n.frac span.bottom {\n    border-top: thin solid black;\n}\n.frac span.symbol {\n    display: none;\n}\n<\/style>\n\n<div class=\"formel\">\n  $${\\frac{1}{n-1} \\sum_{i=1}^N (x_i &#8211; \\overline{x})^2}$$$\n<\/div>\n<br\/><br\/>\n\n<script src=\"https:\/\/ajax.googleapis.com\/ajax\/libs\/jquery\/3.5.1\/jquery.min.js\"><\/script>\n<script>\n    $(function () {\n        $(\"#regnut\").click(function () {\n            var str = $(\"#tall\").val();\n            var res = Array.from(str.split(\/[ ]+\/));\n            var utregning = Array;\n            var std;\n\n\n            for (var i = 0; i < res.length; i++) {\n                res[i] = res[i].replace(\",\", \".\");\n                res[i] = parseFloat(res[i]);\n            }\n\n            var total = 0;\n\n            for (var i = 0; i < res.length; i++) {\n                total = total + res[i];\n            }\n\n            \/\/mean\n            var gjsnitt = total \/ res.length;\n\n            \/\/difference between each number and mean\n            for (var i = 0; i < res.length; i++) {\n                utregning[i] = res[i] - gjsnitt;\n\n            }\n\n            for (var i = 0; i < res.length; i++) {\n                utregning[i] = Math.pow(utregning[i], 2);\n            }\n\n            \/\/sum of squares\n            var sumKv = 0;\n            for (var i = 0; i < res.length; i++) {\n                sumKv = sumKv + utregning[i];\n            }\n            console.log(sumKv);\n            \/\/calculate variance\n            std = sumKv \/ (res.length - 1);\n\n\n            if (std % 1 !== 0) {\n                std = std.toFixed(4);\n            }\n            else {\n                std = std.toFixed();\n            }\n\n            std = std.toString();\n            std = std.replace(\".\", \",\");\n\n            $(\"#resultat\").html(std);\n\n            $(\"#resultatBoks\").css({ \"visibility\": \"initial\" });\n\n\n        });\n\n\n    });\n\n<\/script>\n\n\n<label for=\"tall\">Zahlenreihenfolge (verwenden Sie Leerzeichen zur Trennung der Zahlen)<\/label><br\/><textarea type=\"text\" id=\"tall\"><\/textarea>\n<br\/><br\/><br\/><br\/>\n<input type=\"button\" id=\"regnut\" value=\"Berechnen Sie\"\/>\n<br\/><br\/><div id=\"resultatBoks\" style=\"visibility: hidden;\">\n    <span>Ergebnis:<\/span><br\/>    <span id=\"resultat\" class=\"kalkyleResultat\"><\/span>\n<\/div>\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Berechnen Sie die Abweichung. Unser Rechner berechnet die Abweichung f\u00fcr Sie. Die Varianz (s2) ist ein Ma\u00df f\u00fcr die Streuung [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1705,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"kalkulator-side.php","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-1884","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Varianz-Rechner - Quick Percent Calculator<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/quickpercentcalc.com\/de\/statistik\/varianz-rechner\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Varianz-Rechner - Quick Percent Calculator\" \/>\n<meta property=\"og:description\" content=\"Berechnen Sie die Abweichung. 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